Question

Write the equations in standard form for the lines satisfying the following conditions. Containing points (-1, 2) and (3, -5)

Answer 1

first find the slope m.

m= (y2 -y1)/(x2 - x1)

(x1, y1) = (-1, 2)
(x2,y2) = (3,-5)

Answer 2

m = (-5-2)/ (3 - (-1) = -7 / 4 = -7/4

Next you want to use point slope form to get your equation in slope intercept form.

y - y1 = m (x - x1)

y - 2 = -7/4 ( x- (-1))

y - 2 = -7/4 (x + 1)

y - 2 = -7/4x - 7/4

y = -7/4x - 7/4 + 2

y = -7/4x + 1/4

Standard form = Ax + By = C

y + 7/4x = 1/4

Answer 3

Thank you very much! You're super duper helpful